151002643104 has 144 divisors (see below), whose sum is σ = 434777825664. Its totient is φ = 49709376000.

The previous prime is 151002643081. The next prime is 151002643133. The reversal of 151002643104 is 401346200151.

It is a happy number.

151002643104 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 0 + 2 + 643 + 10 + 4 = 666.

151002643104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7513389 + ... + 7533459.

It is an arithmetic number, because the mean of its divisors is an integer number (3019290456).

Almost surely, 2^151002643104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151002643104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217388912832).

151002643104 is an abundant number, since it is smaller than the sum of its proper divisors (283775182560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151002643104 is a wasteful number, since it uses less digits than its factorization.

151002643104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20411 (or 20400 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 151002643104 its reverse (401346200151), we get a palindrome (552348843255).

The spelling of 151002643104 in words is "one hundred fifty-one billion, two million, six hundred forty-three thousand, one hundred four".